The population of a district is 335000, out of which 214000 are males. 31% of the population is literate. If 31% males are literate, then what percentage of females are literate?

Correct option is A

Given:

Total population of the district = 335,000

Number of males = 214,000

31% of the total population is literate.

31% of males are literate.

We need to find the percentage of females who are literate.

Solution:

Total literate population = 31% $$\times$$​ 335,000 = 0.31 × 335,000 = 103,850

Literate males = 31% × 214,000 = 0.31 × 214,000 = 66,340

Number of females = 335,000 - 214,000 = 121,000

Literate females = 103,850 - 66,340 = 37,510

Percentage of literate females = $$\frac{37,510}{121,000} \times 100$$ = 31% 

Thus, 31% of females are literate.